Home
Class 11
PHYSICS
Given an example for which vecA.vecB=vec...

Given an example for which `vecA.vecB=vecC.vecB but vecA!=vecC`.

Text Solution

Verified by Experts

Suppose `alpha` is the angle between A and B and `beta` the
angle between C and B but `alpha = beta`
Given that,
A.B = C.B
`rArr AB cos alpha = CB cos beta`
`rArr A cos alpha = cos beta`
or `A = C as alpha = beta.`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    DC PANDEY|Exercise Example|39 Videos

  • VECTORS

    DC PANDEY|Exercise check point 2.1|15 Videos

  • VECTORS

    DC PANDEY|Exercise Single Correct|39 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Medical entrances gallery|32 Videos

  • WAVE MOTION

    DC PANDEY|Exercise Integer Type Question|11 Videos

Similar Questions

Explore conceptually related problems

Give an example for which vecA.vecB=vecC.vecB but vecA!=vecC .

If |veca|=3, |vecb|=1, |vecc|=4 and veca + vecb + vecc= vec0 , find the value of veca.vecb+ vecb+ vecc.vecc + vecc.veca .

If veca, vecb and vecc are vectors such that veca. vecb = veca.vecc, veca xx vecb = veca xx vecc, a ne 0. then show that vecb = vecc.

vecA, vecB and vecC are vectosrs each having a unit magneitude. If vecA + vecB+vecC=0 , then vecA. vecB.vecC+ vecC.vecA will be:

veca,vecb,vecc are three vectors such that vecaxxvecb=vecc, vecbxxvecc=veca. Prove that veca,vecb,vecc are mutually at righat angles and |vecb|=1, |vecc|=|veca| .

veca,vecb,vecc are non zero vectors. If vecaxxvecb=vecaxxvecc and veca.vecb=veca.vecc then show that vecb=vecc .

If veca, vecb and vecc be any three non coplanar vectors. Then the system of vectors veca\',vecb\' and vecc\' which satisfies veca.veca\'=vecb.vecb\'=vecc.vecc\'=1 veca.vecb\'=veca.veca\'=vecb.veca\'=vecb.vecc\'=vecc.veca\'=vecc.vecb\'=0 is called the reciprocal system to the vectors veca,vecb, and vecc . The value of [veca\' vecb\' vecc\']^-1 is (A) 2[veca vecb vecc] (B) [veca,vecb,vecc] (C) 3[veca vecb vecc] (D) 0

If veca, vecb and vecc be any three non coplanar vectors. Then the system of vectors veca\',vecb\' and vecc\' which satisfies veca.veca\'=vecb.vecb\'=vecc.vecc\'=1 veca.vecb\'=veca.veca\'=vecb.veca\'=vecb.vecc\'=vecc.veca\'=vecc.vecb\'=0 is called the reciprocal system to the vectors veca,vecb, and vecc . [veca,vecb,vecc]-(veca\'xxvecb\')+(vecb\'xxvec\')+(vecc\'xxveca\')= (A) veca+vecb+vecc (B) veca+vecb-vecc (C) 2(veca+vecb+vecc) (D) 3(veca\'+vecb\'+vecc\')

If veca, vecb, vecc and veca', vecb', vecc' form a reciprocal system of vectors then veca.veca'+vecb.vecb'+vecc.vecc'=

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

DC PANDEY-VECTORS-Subjective
  1. The work done by a force vecF during a displacement vecr is given by v...

    Text Solution

    |

  2. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

    Text Solution

    |

  3. Prove that vecA.(vecAxxvecB)=0

    Text Solution

    |

  4. Find the resultant of the three vectors shown in figure (2W1). .

    Text Solution

    |

  5. Given an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

    Text Solution

    |

  6. Obtain the angle between A+B and A-B if A = 2hati +3hatj and B = hati ...

    Text Solution

    |

  7. Deduce the condition for the vectors 2hati + 3hatj - 4hatk and 3hati -...

    Text Solution

    |

  8. Find the area of the parallelogram whose sides are represented by 2hat...

    Text Solution

    |

  9. If vectors A and B be respectively equal to 3hati - 4hatj + 5hatk and ...

    Text Solution

    |

  10. if A = 2hati - 3hatj+7hatk, B = hati + 2hatj and C=hatj - hatk. Find A...

    Text Solution

    |

  11. The x and y-components of vector A are 4 m and 6 m respectively. The x...

    Text Solution

    |

  12. Three vectors which are coplanar with respect to a certain rectangular...

    Text Solution

    |

  13. Let vecA and vecB be the two vectors of magnitude 10 unit each. If the...

    Text Solution

    |

  14. The resultant of vectors vec(OA) and vec(OB) is peerpendicular to vec(...

    Text Solution

    |

  15. Find the components of a vector A = 2hati + 3hatj along the direction...

    Text Solution

    |

  16. If two vectors are A = 2hati + hatj - hatk and B = hatj - 4hatk. By ca...

    Text Solution

    |

  17. The resultant of two vector A and B is at right angles to A and its ma...

    Text Solution

    |

  18. Four forces of magnitude P, 2P, 3P and 4P act along the four sides of ...

    Text Solution

    |

  19. If P + Q = R and P - Q = S, prove that R^2 + S^2 = 2(P^2 + Q^2)

    Text Solution

    |

  20. In an Delta ABC as showin in Fig. 2 . (2) .71 (a) prove that a/(sin...

    Text Solution

    |